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In this worksheet, students add and subtract simple 2D vectors.

Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Difficulty level:

### QUESTION 1 of 10

A vector is a "carrier" of information regarding a shifting movement.

A 2D vector can be written in the form

 ( x ) y

where x is the horizontal shift and y is the vertical shift.

The following diagram shows how a positive of negative number affects the direction of the shift.

To add or subtract vectors, we add or subtract the top numbers and the bottom numbers separately.

Example 1

Work out:

 ( 3 ) + ( -2 ) 5 6

 ( 3 + -2 ) 5 + 6

 ( 1 ) 11

Example 2

Work out:

 ( 3 ) - ( -2 ) -5 6

 ( 3 - -2 ) -5 - 6

 ( 5 ) -11

 ( 4 ) + ( -2 ) 5 5

 1 ( 6 ) 2. ( 4 ) 3. ( 2 ) 10 10 10

1.

2.

3.

 ( 4 ) + ( -2 ) -5 5

 1 ( 2 ) 2. ( 4 ) 3. ( 2 ) 0 10 10

1.

2.

3.

 ( 5 ) - ( 2 ) 4 5

 1 ( 3 ) 2. ( 7 ) 3. ( 3 ) 1 9 -1

1.

2.

3.

 ( 5 ) - ( 1 ) 4 -5

 1 ( 4 ) 2. ( 4 ) 3. ( 3 ) 1 9 -1

1.

2.

3.

 ( 5 ) + ( 1 ) 4 -5

 1 ( 6 ) 2. ( 4 ) 3. ( 6 ) 1 9 -1

1.

2.

3.

 ( -5 ) + ( -1 ) 4 -5

 1 ( -6 ) 2. ( -6 ) 3. ( 6 ) 1 -1 -1

1.

2.

3.

 ( -5 ) - ( -1 ) 4 -5

 1 ( -6 ) 2. ( -6 ) 3. ( -4 ) 1 -1 9

1.

2.

3.

 ( -3 ) - ( -3 ) 3 0

 1 ( 0 ) 2. ( -6 ) 3. ( 6 ) 3 3 3

1.

2.

3.

 ( -8 ) + ( -3 ) 3 -5

 1 ( 11 ) 2. ( -11 ) 3. ( -5 ) 2 -2 2

1.

2.

3.

 ( -8 ) - ( -3 ) -3 -5

 1 ( 11 ) 2. ( -11 ) 3. ( -5 ) 2 -2 2

1.

2.

3.

• Question 1

 ( 4 ) + ( -2 ) 5 5

 1 ( 6 ) 2. ( 4 ) 3. ( 2 ) 10 10 10

3.
• Question 2

 ( 4 ) + ( -2 ) -5 5

 1 ( 2 ) 2. ( 4 ) 3. ( 2 ) 0 10 10

1.
• Question 3

 ( 5 ) - ( 2 ) 4 5

 1 ( 3 ) 2. ( 7 ) 3. ( 3 ) 1 9 -1

3.
• Question 4

 ( 5 ) - ( 1 ) 4 -5

 1 ( 4 ) 2. ( 4 ) 3. ( 3 ) 1 9 -1

2.
• Question 5

 ( 5 ) + ( 1 ) 4 -5

 1 ( 6 ) 2. ( 4 ) 3. ( 6 ) 1 9 -1

3.
• Question 6

 ( -5 ) + ( -1 ) 4 -5

 1 ( -6 ) 2. ( -6 ) 3. ( 6 ) 1 -1 -1

2.
• Question 7

 ( -5 ) - ( -1 ) 4 -5

 1 ( -6 ) 2. ( -6 ) 3. ( -4 ) 1 -1 9

3.
• Question 8

 ( -3 ) - ( -3 ) 3 0

 1 ( 0 ) 2. ( -6 ) 3. ( 6 ) 3 3 3

1.
• Question 9

 ( -8 ) + ( -3 ) 3 -5

 1 ( 11 ) 2. ( -11 ) 3. ( -5 ) 2 -2 2

2.
• Question 10

 ( -8 ) - ( -3 ) -3 -5

 1 ( 11 ) 2. ( -11 ) 3. ( -5 ) 2 -2 2